Lectures on Symplectic Field Theory
Symplectic Geometry
2016-12-09 v2
Abstract
This is the preliminary manuscript of a book on symplectic field theory based on a lecture course for PhD students given in 2015-16. It covers the essentials of the analytical theory of punctured pseudoholomorphic curves, taking the opportunity to fill in gaps in the existing literature where necessary, and then gives detailed explanations of a few of the standard applications in contact topology such as distinguishing contact structures up to contactomorphism and proving symplectic non-fillability.
Cite
@article{arxiv.1612.01009,
title = {Lectures on Symplectic Field Theory},
author = {Chris Wendl},
journal= {arXiv preprint arXiv:1612.01009},
year = {2016}
}
Comments
343pp; the final three chapters are missing from this manuscript but will be included in the published version, which is to appear in the EMS Lectures in Mathematics series; a few minor errors corrected in v2; comments and corrections welcome